The Davies method for heat kernel upper bounds of non-local Dirichlet forms on ultra-metric spaces

DOI10.1007/s10473-020-0506-xOpenAlexW3082378551MaRDI QIDQ2155101

Jin Gao

Publication date: 15 July 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.11190

zbMATH Keywords

heat kernelDavies methodultra-metric

Mathematics Subject Classification ID

Fractals (28A80) Transition functions, generators and resolvents (60J35) Heat kernel (35K08)

Cites Work

• Lower estimates of heat kernels for non-local Dirichlet forms on metric measure spaces
• Dirichlet forms and symmetric Markov processes.
• Comparison inequalities for heat semigroups and heat kernels on metric measure spaces
• Weighted Poincaré inequality and heat kernel estimates for finite range jump processes
• Upper bounds for symmetric Markov transition functions
• Two-sided estimates of heat kernels of jump type Dirichlet forms
• Heat kernel estimates on Julia sets
• The Davies method revisited for heat kernel upper bounds of regular Dirichlet forms on metric measure spaces
• Lower inequalities of heat semigroups by using parabolic maximum principle
• Estimates of heat kernels for non-local regular Dirichlet forms
• Isotropic Markov semigroups on ultra-metric spaces
• Davies’ method for anomalous diffusions
• Explicit Constants for Gaussian Upper Bounds on Heat Kernels